Elementary Statistics - Data Interpretation - General Aptitude (GA) Previous Year Questions

1

2012 · General Aptitude (GA) · Data Interpretation · Elementary Statistics

Textile Engineering & Fibre Science (TF) 2012

Yarns Y₁ and Y₂ have the same strength when tested at 200 mm gauge length. If mass unevenness CV (%) of yarns Y₁ and Y₂ are 10 and 20 respectively, the ratio of the strength of yarns Y₁ and Y₂ when tested at 500 mm gauge length is

A

More than 1.0

B

Less than 1.0

C

Equal to 1.0

D

Either more or less than 1.0

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2

2012 · General Aptitude (GA) · Data Interpretation · Elementary Statistics

Textile Engineering & Fibre Science (TF) 2012

The mass CV (%) of the final sliver is approximately

A

0.6

B

1.24

C

1.86

D

2.33

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3

2012 · General Aptitude (GA) · Data Interpretation · Elementary Statistics

Textile Engineering & Fibre Science (TF) 2012

The thickness of the above fabric (mm) is approximately

A

0.05

B

0.25

C

0.50

D

0.75

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4

2014 · General Aptitude (GA) · Data Interpretation · Elementary Statistics

Textile Engineering & Fibre Science (TF) 2014

The total exports and revenues from the exports of a country are given in the two pie charts below. The pie chart for exports shows the quantity of each item as a percentage of the total quantity of exports. The pie chart for the revenues shows the percentage of the total revenue generated through export of each item. The total quantity of exports of all the items is 5 lakh tonnes and the total revenues are 250 crore rupees. What is the ratio of the revenue generated through export of Item 1 per kilogram to the revenue generated through export of Item 4 per kilogram?

A

1:2

B

2:1

C

1:4

D

4:1

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5

2015 · General Aptitude (GA) · Data Interpretation · Elementary Statistics

Textile Engineering & Fibre Science (TF) 2015

Options:

If [Cs] and [Cp] represent dye concentration in the bath and in the fibre, respectively, the isotherm for dyeing of polyester with disperse dyes is represented by the figure

A

B

C

D

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6

2015 · General Aptitude (GA) · Data Interpretation · Elementary Statistics

Textile Engineering & Fibre Science (TF) 2015

If [C_s] and [C_f] represent dye concentration in the bath and in the fibre, respectively, the isotherm for dyeing of polyester with disperse dyes is represented by the figure

A

Graph A: [C_f] vs [C_s] showing a curve that rises linearly then becomes horizontal

B

Graph B: [C_f] vs [C_s] showing a concave down curve

C

Graph C: [C_f] vs [C_s] showing an S-shaped curve

D

Graph D: [C_f] vs [C_s] showing a concave up curve

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7

2015 · General Aptitude (GA) · Data Interpretation · Elementary Statistics

Textile Engineering & Fibre Science (TF) 2015

The correlation coefficient (r) between two variables is 0.9. The unexplained variation (%) is __________

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8

2016 · General Aptitude (GA) · Data Interpretation · Elementary Statistics

Textile Engineering & Fibre Science (TF) 2016

The following graph represents the installed capacity for cement production (in tonnes) and the actual production (in tonnes) of nine cement plants of a cement company. Capacity utilization of a plant is defined as ratio of actual production of cement to installed capacity. A plant with installed capacity of at least 200 tonnes is called a large plant and a plant with lesser capacity is called a small plant. The difference between total production of large plants and small plants, in tonnes is ______.

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9

2017 · General Aptitude (GA) · Data Interpretation · Elementary Statistics

Textile Engineering & Fibre Science (TF) 2017

In a company with 100 employees, 45 earn Rs. 20,000 per month, 25 earn Rs. 30,000, 20 earn Rs. 40,000, 8 earn Rs. 60,000, and 2 earn Rs. 150,000. The median of the salaries is

A

Rs. 20,000

B

Rs. 30,000

C

Rs. 32,300

D

Rs. 40,000

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10

2017 · General Aptitude (GA) · Data Interpretation · Elementary Statistics

Textile Engineering & Fibre Science (TF) 2017

The growth of bacteria (lactobacillus) in milk leads to curd formation. A minimum bacterial population density of 0.8 (in suitable units) is needed to form curd. In the graph below, the population density of lactobacillus in 1 litre of milk is plotted as a function of time, at two different temperatures, 25 °C and 37 °C.
Consider the following statements based on the data shown above:
i. The growth in bacterial population stops earlier at 37 °C as compared to 25 °C
ii. The time taken for curd formation at 25 °C is twice the time taken at 37 °C
Which one of the following options is correct?

A

Only i

B

Only ii

C

Both i and ii

D

Neither i nor ii

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11

2018 · General Aptitude (GA) · Data Interpretation · Elementary Statistics

Textile Engineering & Fibre Science (TF) 2018

To pass a test, a candidate needs to answer at least 2 out of 3 questions correctly. A total of 6,30,000 candidates appeared for the test. Question A was answered correctly by 3,30,000 candidates. Question B was answered correctly by 2,50,000 candidates. Question C was answered correctly by 2,60,000 candidates. Both questions A and B were answered correctly by 1,00,000 candidates. Both questions B and C were answered correctly by 90,000 candidates. Both questions A and C were answered correctly by 80,000 candidates. If the number of students answering all questions correctly is the same as the number answering none, how many candidates failed to clear the test?

A

30,000

B

2,70,000

C

3,90,000

D

4,20,000

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12

2018 · General Aptitude (GA) · Data Interpretation · Elementary Statistics

Textile Engineering & Fibre Science (TF) 2018

In a detailed study of annual crow births in India, it was found that there was relatively no growth during the period 2002 to 2004 and a sudden spike from 2004 to 2005. In another unrelated study, it was found that the revenue from cracker sales in India which remained fairly flat from 2002 to 2004, saw a sudden spike in 2005 before declining again in 2006. The solid line in the graph below refers to annual sale of crackers and the dashed line refers to the annual crow births in India. Choose the most appropriate inference from the above data.

A

There is a strong correlation between crow birth and cracker sales.

B

Cracker usage increases crow birth rate.

C

If cracker sale declines, crow birth will decline.

D

Increased birth rate of crows will cause an increase in the sale of crackers.

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13

2019 · General Aptitude (GA) · Data Interpretation · Elementary Statistics

Textile Engineering & Fibre Science (TF) 2019

Mola is a digital platform for taxis in a city. It offers three types of rides – Pool, Mini and Prime. The Table below presents the number of rides for the past four months. The platform earns one US dollar per ride. What is the percentage share of revenue contributed by Prime to the total revenues of Mola, for the entire duration?

A

16.24

B

23.97

C

25.86

D

38.74

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14

2020 · General Aptitude (GA) · Data Interpretation · Elementary Statistics

Textile Engineering & Fibre Science (TF) 2020

Two yarns have variance of strength as \( V_1 \) and \( V_2 \). If \( V_1 < V_2 \), the variance ratio “\( F \)” would be

A

\(\frac{V_2}{V_1} \)

B

\(\frac{V_1}{V_2} \)

C

\(\frac{V_1^2}{V_2^2} \)

D

\(\frac{V_2^2}{V_1^2} \)

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15

2021 · General Aptitude (GA) · Data Interpretation · Elementary Statistics

Textile Engineering & Fibre Science (TF) 2021

Details of prices of two items P and Q are presented in the above table. The ratio of cost of item P to cost of item Q is 3:4. Discount is calculated as the difference between the marked price and the selling price. The profit percentage is calculated as the ratio of the difference between selling price and cost, to the cost (Profit % = \(\frac{\text{selling price} - \text{cost}}{\text{cost}} \times 100\)). The discount on item Q, as a percentage of its marked price, is ______

A

25

B

12.5

C

10

D

5

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16

2024 · General Aptitude (GA) · Data Interpretation · Elementary Statistics

Textile Engineering & Fibre Science (TF) 2024

Consider the following sample of numbers: 9, 18, 11, 14, 15, 17, 10, 69, 11, 13 The median of the sample is

A

13.5

B

14

C

11

D

18.7

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17

2024 · General Aptitude (GA) · Data Interpretation · Elementary Statistics

Textile Engineering & Fibre Science (TF) 2024

The pie chart presents the percentage contribution of different macronutrients to a typical 2,000 kcal diet of a person.

The typical energy density (kcal/g) of these macronutrients is given in the table.

Macronutrient	Energy density (kcal/g)
Carbohydrates	4
Proteins	4
Unsaturated fat	9
Saturated fat	9
Trans fat	9

The total fat (all three types), in grams, this person consumes is

A

44.4

B

77.8

C

100

D

3,600

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18

2025 · General Aptitude (GA) · Data Interpretation · Elementary Statistics

Textile Engineering & Fibre Science (TF) 2025

Which one of the following options is correct for the given data in the table?

A

\(X(i) = X(i-1) + I(i); \quad Y(i) = Y(i-1)I(i); \quad i > 0\)

B

\(X(i) = X(i-1)I(i); \quad Y(i) = Y(i-1) + I(i); \quad i > 0\)

C

\(X(i) = X(i-1)I(i); \quad Y(i) = Y(i-1)I(i); \quad i > 0\)

D

\(X(i) = X(i-1) + I(i); \quad Y(i) = Y(i-1)I(i-1); \quad i > 0\)

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